Conditional Statements An If …….. Then…….Statement. The HYPOTHESIS is the condition of the statement and appears after the IF. The CONCLUSION is the result.

Slides:



Advertisements
Similar presentations
2.2: If-Then Statements p
Advertisements

Geometry 2.2 Big Idea: Analyze Conditional Statements
Conditional Statements
TRUTH TABLES Determine how the statement is written and the truth values associated with them.
Warm-up: What is the next term in the sequence? 1)3, 5, 11, 21, 35, ___ 2)
Analyzing Conditional Statements A _______________________________ is a logical statement that has two parts, a hypothesis and a conclusion.
Conditional Statement Review Geometry – Section 2.2.
Learning Targets I can recognize conditional statements and their parts. I can write the converse of conditional statements. 6/1/2016Geometry4.
Warm Up Week 6 m ∡ 9 = 33º ) What is m ∡ 7? 2) What is m ∡ 8?
Conditional Statements A conditional statement is in the form If …….. Then……. The HYPOTHESIS is the condition of the statement and appears after the IF.
Lesson 2-3 Conditional Statements. 5-Minute Check on Lesson 2-2 Transparency 2-3 Use the following statements to write a compound statement for each conjunction.
Wednesday, October 24 th Aim: In what other ways can we potentially change the truth value of a conditional statement? Do Now: Write a TRUE conditional.
Inductive/Dedu ctive Reasoning Using reasoning in math and science.
Conditional Statements. Standards/Objectives: Students will learn and apply geometric concepts. Objectives: –Recognize and analyze a conditional statement.
Conditional Statements
CHAPTER 6: INEQUALITIES IN GEOMETRY
CONDITIONALS. Conditional Statement: Any statement that is or can be written in if- then form. That is, If p then q.
Conditional Statements
 What are conditionals & biconditionals?  How do you write converses, inverses, and contrapositives?
Conditional Statement A conditional statement has two parts, a hypothesis and a conclusion. When conditional statements are written in if-then form, the.
Unit 2 Part 1 Conditional, Converse, Inverse, and Contra- Positive Statements.
Section 2.1 Conditional Statements. Conditional Statement A sentence in if-then form. “If” part – hypothesis “Then” part – conclusion.
MM1G2.b. Understand and use the relationships among a statement and its converse, inverse, and contrapositive. BY: BETH MATHIS Terry Marshall Jr.
Section 2-1 Conditional Statements. Conditional statements Have two parts: 1. Hypothesis (p) 2. Conclusion (q)
Related Conditional Statements 2-1B What are the three related conditional statements? How are the three related conditional statements made?
Conditional Statements Section 2-3 Conditional Statements If-then statements are called conditional statements. The portion of the sentence following.
2.2.1 Analyze Conditional Statements and Proof Chapter 2: Reasoning and Proof.
Section 2-2: Conditional Statements. Conditional A statement that can be written in If-then form symbol: If p —>, then q.
Warm Up Week 7 1) find the slope between the two points: ( 2, -9 ) and ( -13, 21 )
Logic and Reasoning Conditional Statements. Logic The use and study of valid reasoning. When studying mathematics it is important to have the ability.
MM1G2.b. Understand and use the relationships among the statement and it converse inverse and contrapositive. Destiny and Scott.
Review for Quiz tomorrow. D, H, L, P,…. West, south, east ….. 100, 81, 64, 49, …….
3.5/3.7 Converses, Negations and Contrapositives Warm-up (IN) Learning Objective: to write converses, inverses and contrapositives and use them in logical.
2-3 Conditional Statements- Related What are the three related conditional statements? How are the three related conditional statements made?
2.3 CONDITIONAL STATEMENTS Geometry R/H. A Conditional statement is a statement that can be written in the form: If P, then Q. The hypothesis is the P.
Section 2-2: Biconditionals and Definitions. Conditional: If two angles have the same measure, then the angles are congruent. Converse: If two angles.
By phrasing a conjecture as an if-then statement, you can quickly identify its hypothesis and conclusion.
Unit 2-2: Conditional Statements Mr. Schaab’s Geometry Class Our Lady of Providence Jr.-Sr. High School
Section 2.1 Geometric Statements. Definitions: Conditionals, Hypothesis, & Conclusions: A conditional statement is a logical statement that has two parts:
2.2 Conditional Statements Objective: Students will analyze statements in if-then form and write the converse, inverse, and contrapositive of if-then statements.
Logic Section 2.1. Symbols         and or If …, then… not.
Section 2.2 Homework Quiz Question Put the following Conditional Statement into If Then Form: All birds have feathers.
CONVERSE, INVERSE, and CONTRAPOSITIVE of IF-THEN STATEMENTS GEO122 CONVERSE: “If p, then q” becomes “if q, then p.” INVERSE: “If p, then q” becomes “if.
Unit 1-4 If and Then statements Conditional Statements in Geometry.
Section 2.1 Conditional Statements Standards #1&3 Wednesday, July 06, 2016Wednesday, July 06, 2016Wednesday, July 06, 2016Wednesday, July 06, 2016.
Conditional Statements
Conditional Statements
Objectives Identify, write, and analyze the truth value of conditional statements. Write the inverse, converse, and contrapositive of a conditional statement.
Warm Up Write a conclusion to match the hypothesis:
Conditional Statements
Section 1.8: Statements of Logic
Conditional Statements
Objectives Identify, write, and analyze the truth value of conditional statements. Write the inverse, converse, and contrapositive of a conditional statement.
Warm Up:.
Conditional Statement Geometry Ms. Olifer
2-2 Conditional Statements
Chapter 2 Reasoning and Proof.
Conditional Statements: logical statements with two parts.
2.1 Conditional Statements
Copyright © 2014 Pearson Education, Inc.
Truth Tables Determine how the statement is written and the truth values associated with them.
Conditional Statements
Sprite L'Oréal Investigating... Advertising Slogans
Logical Sequencing & Conditional Statements
MAT 3100 Introduction to Proof
Chapter 2.2 Notes: Analyze Conditional Statements
Inverses, Contrapositives, and Indirect Reasoning
Logic and Reasoning.
Math Humor Teacher: Which month has 28 days? Student: All of them!!
2-2: Conditional Statements
Presentation transcript:

Conditional Statements An If …….. Then…….Statement. The HYPOTHESIS is the condition of the statement and appears after the IF. The CONCLUSION is the result and occurs after the THEN.

When it rains, it pours. Written in correct conditional form: If it rains, then it pours.

When it rains, it pours If it rains, then it pours. Underline the Hypothesis and Italicize the Conclusion.

When it rains, it pours If it rains, then it pours. Underline the Hypothesis and italize the Conclusion. Note: Do NOT include the IF and THEN when identifying

Changing any statement into a conditional statement Just about any statement can be changed into the “If….. then…..” form! School closes when it snows. If it snows, then school closes. All new cars are expensive! If it’s a new car, then it’s expensive. All people have feelings. If he’s a person, then he has feelings.

Four Forms of Conditional Sentences Regular conditional p  q Converse: q  p –Switch hypothesis and conclusion Inverse ~ p  ~ q –Negate the hypothesis and conclusion Contrapositive ~ q  ~ p –Switch and negate both Remember ~ means to negate or “NOT”

If it rains, it pours. Regular conditional:

If it rains, it pours. Regular conditional: If it rains, then it pours. Converse:

If it rains, it pours Regular conditional: If it rains, then it pours. Converse: If it pours, then it rains.

If it rains, then it pours. To negate a phrase, add “NOT”. You may also need to modify the verb to ensure good grammar. Inverse: If it doesn’t rain, then it doesn’t pour.

If it rains, then it pours. Contrapositive: (Switch and negate)

If it rains, then it pours. Contrapositive: (Switch and negate) If it doesn’t pour, then it doesn’t rain.

If you are rushed, you won’t do well Conditional: If you are rushed, then you won’t do well. Converse: If you don’t do well, then you are rushed. Inverse:If you aren’t rushed, then you will do well. Contrapositive: If you do well, then you aren’t rushed.

Computer Room Lab work will be on these sentences. Take these notes with you to the lab. Quiz Wednesday will be on these conditionals sentences.